To bring in another example, let's represent a road map as a graph. Assuming that there are no one-way streets, a road map is also an undirected graph, with cities as vertices, roads as edges, and the …

And when I figured out what the actual vertices are, we saw that the point zero, plus or minus three are on the graph, so A looks like a really good candidate. If we look at the other choice, it opens up and …

If there is a path between every pair of vertices, then we say the graph is connected. This does not mean that every vertex has an edge connecting it to every other vertex.

So it says the following 3 points are 3 vertices of square A, B, C, D. Plot them on a graph. Then determine what the coordinates of the fourth point, D, would be.

Let's find the area of a triangle when the coordinates of the vertices are given to us. Let's do this without having to rely on the formula directly.

Reflecting Shapes: When reflecting a shape, like a rectangle or triangle, you reflect each vertex (corner) of the shape and then connect the reflected vertices to form the reflected shape.

In the Algebra 1 videos on parabolas, Sal said that in order to move left on a graph three spaces, the equation is "x+3," which he admits is counterintuitive. Why does that change for this lesson?

How can we determine the length of a side of a rectangle given the coordinates of its vertices? In this example, by plotting the points on a graph, we can see that the length one side is five because the y …

Solution When we translate a polygon, we are actually translating all the individual line segments that make up that polygon! Basically, what we did here is to find the images of E , F , G , and H and …

Sal rewrites the equation y=-5x^2-20x+15 in vertex form (by completing the square) in order to identify the vertex of the corresponding parabola.